1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
attashe74 [19]
3 years ago
12

Given the system of linear equations. Choose all of the options that could be used to solve the system using addition

English
1 answer:
myrzilka [38]3 years ago
8 0
<h2>Hello!</h2>

The answer is:

The only operations that could be used to solve the system using addition are the first and the third operation.

<h2>Why?</h2>

To solve the problem, we need to check and discard each of the given option to see if the operations works to solve the system using addition, so, trying the given options.

The system of equation is:

x+y=7\\12x+y=5

We can see that the only way to solve the system using addition, is multiplying the first or the second equation by -1, so, we can eliminate the variable "y", let's prove that:

- First operation: Multiplying<u> the first equation</u> by -1 and add the equations together,

x+y=7\\12x+y=5

x*(-1)+y*(-1)=7*(-1)\\12x+y=5

-x+-y=-7\\12x+y=5

Adding the equations, we have:

12x-x+y-y=5-7

11x+=5-7

11x+=-2

x=-\frac{2}{11}

We can see that we can solve the problem using the first operation the operation.

- Third operation: Multiplying <u>the second equation</u> by -1 and add the equations together,

x+y=7\\12x+y=5

x+y=7\\12x*(-1)+y*(-1)=5*(-1)

x+y=7\\-12x+-y=-5

Adding the equations we have:

-12x+x+y-y=-5+7

-11x=2

x=-\frac{2}{11}

We can see that we can solve the problem using the third operation.

Also, we can see that in both equations the variable "y" has the same coefficient, the only operations that could work to solve the system using addition are the first and the third operation.

Have a nice day!

You might be interested in
Question 5 of 10
Anastasy [175]

Answer:

I'm sure it's  D.

Happy to help

7 0
3 years ago
Read 2 more answers
What is one reason the Victorian era saw an increase in the population of theatergoers?
dybincka [34]

Answer:

transportation systems improved

Explanation:

8 0
2 years ago
How does lady macbeth feel about other people's opinions?
Vikki [24]
I think Lady Macbeth cares about what other people think. We can see that through her behavior towards her husband. She thinks he is unfit to rule because he is weak, and she is constantly trying to make him seem better in other people's eyes. She believes that she would be a much better ruler than him, if she were only a man. She is also trying to distract people from finding out who the real murderer is by fainting and drawing everyone's attention to her so that Macbeth wouldn't confess to his crimes.
3 0
3 years ago
Quiero saber una pregunta de inglés
Liula [17]

Answer:

Pero d q pregunta

Explanation:

5 0
3 years ago
Read 2 more answers
PLSSSSSS HELP!!!!!!!!!!! FIRST AWNSER GETS BRAINLIEST!!!!!!!!!!!!!!!!!!!
Sholpan [36]

Answer:

D. to show that compulsive hoarders start out collecting things like any other person

5 0
2 years ago
Other questions:
  • Which word in that sentence most closely
    6·2 answers
  • Can someone make a sentence that someone would have said using the word avert
    8·1 answer
  • Which words would best describe the town of Riverboro?
    14·1 answer
  • Which words in the sentence make up the appositive? Which word does the appositive rename? Many letters of support were sent to
    11·1 answer
  • What is the best definition for the underlined word based on the following sentence? "Douglass being captured after his first at
    8·2 answers
  • .
    14·1 answer
  • PLEASE HELP! K12 7TH GRADE LANGUAGE ARTS!!!
    6·1 answer
  • What is the primary goal of the colonies in establishing independence from British rule
    11·1 answer
  • Kaitlyn swore her ALLEGIANCE to her Girl Scout troop. She was very
    10·2 answers
  • Pretend you are a rider on the bus when Rosa parks refused to give up her seat. Write a detailed narrative telling what happened
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!